 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 4. If a straight line touch a circle and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a ttraight line be drawn at right angles to the touching line, the center of the circle shall be in that... | |
 | Euclides - 1860 - 288 pages
...perpendicular to it besides FC ; that is, FC is perpendicular to DE. GE If a straight line be a tangent to a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle shall be in that line. Given that the straight... | |
 | War office - 1861 - 714 pages
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. If a straight line touch a circle and from the point...contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Voluntary Portion. 1. In the proposition... | |
 | Euclides - 1861 - 464 pages
...; if without, as AF, the ¿_ FAB is > a rt. ¿. VB Pnоr. 32. — THEOK. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes icith the line touching the circle, shall be... | |
 | Euclides - 1862 - 172 pages
...when the adjacent angles are equal, they are right angles, (i. def. 10.) PROP. XXXII. — THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; then the angles made by this line with the line touching the circle shall be equal... | |
 | Euclides - 1864 - 448 pages
...when the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle ; the anglc-s which this line makes with the line touching the circle shall be equal... | |
 | Euclides - 1865 - 402 pages
...when the adjacent angles are equal, they are right angles, (i. def. 10.) PROP. XXXII. — THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle; then the angles made by this line with the line touching the circle shall be equal... | |
 | Robert Potts - 1865 - 528 pages
...when the adjacent angles are equal, they are right angles, (i. def. 10.) PROPOSITION XXXn. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle; the angles which this lint makes with the line touching the circle shall be equal... | |
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If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the... 
